Book chapter
[OS1] M. Lhommeau, L. Hardouin, B. Cottenceau. Optimal Control for (max,+)-linear Systems in the Presence of Disturbances. ISBN 978-3-540-40342-5, pages 758-760, DOI:10.1007/b79667 , LNCIS 294 , SPRINGER, (2003)
Peer-reviewed journal publications
[IJ-17] Guilherme Espindola-Winck, Laurent Hardouin, M. Lhommeau, SMT-based and fixed-point approaches for state estimation in max-plus linear systems, Discrete Event Dynamic Systems (DEDS). April 2025, DOI:10.1007/s10626-025-00413-w
[IJ-16] Guilherme Espindola-Winck, Laurent Hardouin, M. Lhommeau, On the set-estimation of uncertain Max-Plus Linear systems, Automatica, Vol 171, Jan. 2025 DOI:10.1016/2024.111899
[IJ-15] B. Daviaud, S. Lahaye, M. Lhommeau, J. Komenda, “On the Existence of Simulations for Max-Plus Automata,” in IEEE Control Systems Letters, vol. 8, pp. 694-699, 2024, doi: 10.1109/LCSYS.2024.3401415 .
[IJ-14] Guilherme Winck, L. Hardouin, M. Lhommeau, R. Santos-Mendes, Stochastic Filtering Scheme of Implicit Forms of Uncertain Max-Plus Linear Systems, IEEE Transactions on Automatic Control, vol 67, no. 8, pp. 4370-4376, Aug. 2022,DOI:10.1109/TAC.2022.3176841 .
[IJ-13] Renato Markele Ferreira Cândido, Laurent Hardouin, Mehdi Lhommeau, Rafael Santos-Mendes. An Algorithm to Compute the Inverse Image of a Point with Respect to a Nondeterministic Max PlusLinear System. IEEE Transactions on Automatic Control, 2020, Volume: 66, Issue: 4, doi:10.1109/TAC.2020.2998726 , April 2021
[IJ-12] R. S. Mendes, L. Hardouin and M. Lhommeau, Stochastic Filtering of Max-Plus Linear Systems With Bounded Disturbances, in IEEE Transactions on Automatic Control, vol. 64, no. 9, pp. 3706-3715, Sept. 2019
[IJ-11] Nicolas Delanoue, Mehdi Lhommeau, and Sébastien Lagrange, Nonlinear optimal control : A numerical scheme based on occupation measures and interval analysis. Computational Optimization and Applications, Springer Verlag, volume 77, pages 307-334, 2020
[IJ-10] R. Santos-Mendes, L. Hardouin and M. Lhommeau. Stochastic Filtering of Max-plus Linear Systems with Bounded Disturbances, IEEE Transactions on Automatic Control, Volume 64(9), 2019
[IJ-9] R.-M. Ferreira Cândido, L. Hardouin, M. Lhommeau and R. Santos Mendes. Conditional Reachability Of UncertainMax Plus Linear Systems, Automatica. 2018
[IJ-8] Y. Shang Ying, L. Hardouin, M. Lhommeau, C.-A. Maia, An integrated control strategy to solve the disturbance decoupling problem for max-plus linear systems with applications to a high throughput screening system, Automatica, 2016. n°63 p. 338-348
[IJ-7] N. Delanoue, M. Lhommeau, P. Lucidarme, Numerical enclosures of the optimal cost of the Kantorovitch’s mass transportation problem, Computational Optimization and Applications. 2015. p. 1-19
[IJ-6] M. Lhommeau, L. Jaulin, L. Hardouin, Capture Basin Approximation Using Interval Analysis, International Journal of Adaptive Control and Signal Processing, (2011).
[IJ-5] L. Hardouin, C. A. Maia, B. Cottenceau, M. Lhommeau, Observer Design for (max,+) Linear Systems. IEEE Transaction on Automatic Control, 55-2, 538-543, (2010).
[IJ-4] L. Hardouin, B. Cottenceau, M. Lhommeau, E. Le Corronc, Interval systems over idempotent semirings. Linear Algebra and its Applications, vol. 431, Issues 5-7, 855-862, (2009).
[IJ-3] N. Delanoue, L. Jaulin, L. Hardouin, M. Lhommeau, Guaranteed Characterization of Capture Basins of Nonlinear State-Space Systems, Lecture Notes in Electrical Engineering, Springer, ISBN 978-3-540-85639-9, [DOI:10.1007/978-3-540-85640-5]((https://www.doi.org/10.1007/978-3-540-85640-5) , vol. 24, 265-272, (2008).
[IJ-2] M. Lhommeau, L. Hardouin, B. Cottenceau, L. Jaulin, Interval analysis in diod : Application to robust controller design for Timed Event Graphs, AUTOMATICA, vol 40.1923-1930, (2004).
[IJ-1] B. Cottenceau, M. Lhommeau, L. Hardouin, J.-L. Boimond, On Timed Event Graph Stabilization by Output Feedback in Dioid. Kybernetika, vol. 39, n°2, 165-176, (2003).
International conferences
[CI-29] Paul Courtin, Jean-Baptiste Fasquel, Mehdi Lhommeau, Axel Gimault. Where do you store your product today? Let’s try AI, to make tomorrow’s picking faster. 17th International Conference on Agents and Artificial Intelligence (ICART), Porto, Portugal, 2025.
[CI-28] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Jan Komenda Mehdi Lhommeau. On the Existence of Simulation for Max-Plus Automata. 63rd IEEE Conference on Decision and Control. December 16-19, 2024, MiCo, Milan, Italy.
[CI-27] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Jan Komenda. Representation of Time Petri Nets using Interval Weighted Automata, 9th International Conference on Control, Decision and Information Technologies (CoDIT), 3 au 6 juillet 2023.
[CI-26] Paul Courtin, Jean-Baptiste Fasquel, Mehdi Lhommeau, Axel Gimault. A Deep Learning Approach to Address the Storage Location Assignment Problem. 16th International Conference on Agents and Artificial Intelligence (ICART), Rome, Italy, 2024.
[CI-25] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Jan Komenda. Representation of Time Petri Nets using Interval Weighted Automata, 9th International Conference on Control, Decision and Information Technologies (CoDIT), 3 au 6 juillet 2023.
[CI-24] Guilherme Espindola-Winck, Laurent Hardouin, Mehdi Lhommeau, Rafael Santos-Mendes. Criteria stochastic filtering of max-plus discrete event systems with bounded random variables. 1st IFAC Workshop on Control of Complex Systems (COSY), IFAC, Nov 2022, Bologne, Italy. pp.13-18, ⟨10.1016/j.ifacol.2023.01.041⟩. ⟨hal-03994143⟩
[CI-23] Guilherme Espindola-Winck, Renato Markele Ferreira Cândido, Laurent Hardouin, Mehdi Lhommeau. Efficient State-Estimation of Uncertain Max-Plus Linear Systems with High Observation Noise. 16th IFAC Workshop on Discrete Event Systems (WODES) 2022, Sep 2022, Prague (CZ), Czech Republic. pp.228-235, ⟨10.1016/j.ifacol.2022.10.347⟩. ⟨hal-03840153⟩
[CI-22] Guilherme Espindola-Winck, Laurent Hardouin, Mehdi Lhommeau. Max-plus polyhedra-based state characterization for uMPL systems. 2022 European Control Conference (ECC), Jul 2022, London, United Kingdom. pp.1037-1042, ⟨10.23919/ECC55457.2022.9838188⟩. ⟨hal-03782814⟩
[CI-21] A. Oke, L. Hardouin, M. Lhommeau and Y. Shang, Observer-Based Controller for Disturbance Decoupling of Max-plus Linear Systems with Applications to a High Throughput Screening System in Drug Discovery ,CDC'2017, Melbourne - Australia. 2017
[CI-20] R.-M. Ferreira Cândido, M. Lhommeau, L. Hardouin and R. Santos Mendes, MinMaxGDJS : A WEB Toolbox to handle pseudo-periodic series in MinMax[[gamma,delta]] , IFAC'2017, Toulouse. 2017
[CI-19] A. Jamin, J.-B. Fasquel, M. Lhommeau, E. Cornet, S. Abadie-Lacourtoisie, S. Henni, G. Leftheriotis, An Aggregation Plateform for IoT-Based Healthcare : Illustration for Bioimpedancemetry, Temperature and Fatigue Level Monitoring, Third International Conference, HealtyIoT 2016, Västera, Sweden, October 18-19, 2016.
[CI-18] Y. Shang, L. Hardouin, M. Lhommeau, C.-A. Maia, Robust Controllers in Disturbance Decoupling of Uncertain Max-Plus Linear Systems: An Application to a High Throughput Screening System for Drug Discovery ,WODES 2016, Workshop on Discrete Event Systems, 2016.
[CI-17] Y. Shang, L. Hardouin, M. Lhommeau, C.-A. Maia, An Integrated Control Strategy in Disturbance Decoupling of Max-Plus Linear Systems with Applications to a High Throughput Screening System in Drug Discovery, 53rd IEEE Conference on Decision and Control. 2014, Los Angeles. IEEE, p. 6.
[CI-16] Y. Shang, L. Hardouin, M. Lhommeau, C.A. Maia, Open Loop Controllers to Solve the Disturbance Decoupling Problem for Max-Plus Linear Systems , European Control Conference, ECC 2013, Zurich.
[CI-15] R. Guyonneau, S. Lagrange, L. Hardouin, M. Lhommeau, Set-Membership Method for Discrete Optimal Control , 10th International Conference on Informatics in Control, Automation and Robotics, ICINCO,2013
[CI-14] M. Lhommeau, L. Jaulin and L. Hardouin, A non-linear set-membership approach for the control of Discrete Event Systems, Workshop on Discrete Event Systems (WODES), October 3-5 Guadalajara, Mexico, 2012
[CI-13] L. Hardouin, M. Lhommeau, Y. Shang, Towards Geometric Control of Max-Plus Linear Systems with Applications to Manufacturing Systems. Conference on Decision and Control, European Conference on Control, CDC-ECC, Orlando. USA, (2011).
[CI-12] A. Bouillard, B. Cottenceau, B. Gaujal, L. Hardouin, S. Lagrange, M. Lhommeau, COINC Library: a toolbox for the Network Calculus.4th International Conference on Performance Evaluation Methodologies and Tools (ValueTools 2009). Pisa, Italie, (2009).
[CI-11] L. Hardouin, C.A. Maia, B. Cottenceau , M. Lhommeau, Observer Design for (max,+) linear systems. DCDS'07, June 13-15, Paris. Cachan, France, (2007).
[CI-10] M. Lhommeau, L. Jaulin, L. Hardouin, Inner and outer approximation of capture basins using interval analysis. 4th International Conference on Informatics in Control, Automation and Robotics (ICINCO). Angers, France, (2007).
[CI-9] M. Lhommeau, L. Hardouin, J.-L. Ferrier, I. Ouerghi, Interval Analysis in Dioid : Application to Robust Open-Loop Control for Timed Event Graphs. 44th IEEE Conference on Decision and Control and European Control Conference ECC 2005 (CDC-ECC'05). Sevilla, Spain, (2005).
[CI-8] M. Lhommeau, L. Hardouin, C.A. Maia, R. Santos-Mendes, Control and Robustness Analysis for (max,+)-linear systems.WODES'2004, Workshop On Discrete Event Systems. Reims, France. (2004).
[CI-7] M. Lhommeau, L. Hardouin, B. Cottenceau, L. Jaulin, Robust Controller Design for Timed Event Graphs in Dioid. Emerging Technologies and Factory Automation, ETFA'2003. Lisbonne Portugal. (2003).
[CI-6] M. Lhommeau, L. Hardouin, B. Cottenceau, Optimal Control for (max,+)-linear Systems in the Presence of Disturbances. Proceedings of the first International Symposium on Positive Systems: Theory and Applications, POSTA 2003. Rome, Italie, (2003).
[CI-5] C.A. Maia, L. Hardouin, R. Santos-Mendes, M. Lhommeau, Optimal Closed-loop Control of Timed Event Graphs in dioids. International Workshop on (Max,+)-Algebra. Birmingham, Grande-Bretagne, (2003).
[CI-4] M. Lhommeau, L. Hardouin, B. Cottenceau, C.A. Maia, Robustness Analysis of Control laws for (max,+)-linear Systems. International Workshop on Max,+ Algebra. Birmingham. Grande-Bretagne, (2003).
[CI-3] M. Lhommeau, C.A. Maia, L. Hardouin, B. Cottenceau, Commandes de graphes d’événements temporisés : synthèse et robustesse de correcteurs. Journées Nationales d’Automatique, JNA Valenciennes, France, (2003).
[CI-2] M. Lhommeau, L. Hardouin, B. Cottenceau, Disturbance Decoupling of Timed Event Graphs by Output Feedback Controller. WODES'2002, Workshop on Discrete Event Systems. Zaragoza, Espagne, (2002).
[CI-1] M. Lhommeau, L. Hardouin, B. Cottenceau, J.-L. Boimond, Data processing tool for calculation in dioid. WODES'2000, Workshop on Discrete Event Systems. Ghent, Belgique. (2000).
National Conferences
[CN-12] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Mathieu Delalle. Livecoding, Atelier Participiatif et collaboratif. Open Open, ESAC Cambrai mai 2023.
[CN-11] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Mathieu Delalle. Librairie d’interface réactif pour le live Coding. Les 6èmes journées des Démonstrateurs en Automatique, Angers, juin 2022.
[CN-10] Guilherme Espindola-Winck, Laurent Hardouin, Mehdi Lhommeau. Sur l’estimation d’état des systèmes max-plus. Modélisation des Systèmes Réactifs (MSR'21), Nov 2021, Paris, France.
[CN-9] Bérangère Daviaud, Sébastien Lahaye, Mehdi Lhommeau, Mathieu Delalle. LiveCode+. Modélisation des Systèmes Réactifs (MSR'21), Nov 2021, Paris, France. ⟨hal-04011413⟩
[CN-8] P. Courtin, A. Grimault, M. Lhommeau et J.-B. Fasquel, Problème d’affectation dynamique des emplacements de stockage chez Knapp : vers de l’apprentissage automatique ?, Rencontres Jeunes Chercheurs en Intelligence Artificielle, RJCIA, Angers, 2020
[CN-7] G. Espindola Winck, M. Lhommeau et L. Hardouin, Analyse d’atteignabilité des systèmes (max,+)-linéaires à l’aide des polyèdres tropicaux, MSR 2019, Angers, 2019
[CN-6] M. Lhommeau, L. Hardouin and B. Cottenceau, MinMaxGDJS : Calcul dans le semi-anneau MinMax[[gamma,delta]], MSR'2017, Marseille. 2017
[CN-5] M. Lhommeau, L. Hardouin, R. Santos-Mendes, Sur la stabilisation de systèmes min-max-plus. MSR'2013, Modélisation des Systèmes Réactifs. Rennes, France, (2013).
[CN-4] M. Lhommeau, L. Hardouin, C.-A. Maia, R. Santos-Mendes, Commande et analyse de robustesse de systèmes (max,+)-linéaires. e-STA Revue en ligne Sciences et Technologies de l’Automatique. (2004).
[CN-3] M. Lhommeau, L. Hardouin, S. Lagrange, B. Cottenceau, Problème du rejet de perturbations dans les dioïdes. Synthèses de correcteurs préservant l’état. CIFA'2002, Conférence Internationale Française d’Automatique. Nantes, France, (2002).
[CN-2] M. Lhommeau, L. Hardouin, B. Cottenceau, Sur l’analyse de la robustesse de correcteurs linéaires dans les dioïdes. MSR'2001, Modélisation des Systèmes Réactifs. Toulouse, France, (2001).
[CN-1] M. Lhommeau, L. Hardouin, B. Cottenceau, A propos de la commande optimale de systèmes à événements discrets décrits dans les dioïdes. JDA'2001, Journées Doctorales d’Automatique. Toulouse, France, (2001).
Doctoral thesis
- Mehdi Lhommeau. Etude de systèmes à événements discrets dans l’algèbre (max,+) : “Synthèse de correcteurs robustes dans un dioïde d’intervalles. Synthèse de correcteurs en présence de perturbations . Ph.D thesis, University of Angers, France, 2003 (in French)